Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Padovan stringf, A Padovan string P(n) for a natural number n is defined as...

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation.

''c'' programme, Write a ''C'' program to accept any 3 digit integer number...

Write a ''C'' program to accept any 3 digit integer number from the keyboard and display the word equivalent representation of the given number.

Padovan sequence, write a program that counts the number of occurrences of ...

write a program that counts the number of occurrences of the string in the n-th Padovan string P(n)

Array, array itself is a pinter.explain

array itself is a pinter.explain

What are literals, Literals (Constants) Constants are data storage loca...

Literals (Constants) Constants are data storage locations whose address is not accessible for the user. Their value is not altered during the course of the program. Literal

Algorithm, Write a algorithm to explain the processof wakingbup in morning

Write a algorithm to explain the processof wakingbup in morning

When i develop a destructor, When I develop a destructor, do I require to e...

When I develop a destructor, do I require to explicitly call the destructors for my member objects?

Find area under curve, write a c program to find the area under the curve4...

write a c program to find the area under the curve4 f=(x) between x=a and x=l integrate y=(x) between the limits of a and b Solution: #include float    start_point,

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd